803531016081 has 20 divisors (see below), whose sum is σ = 1204798706100. Its totient is φ = 533695926816.

The previous prime is 803531015977. The next prime is 803531016091. The reversal of 803531016081 is 180610135308.

803531016081 is a `hidden beast` number, since 8 + 0 + 35 + 3 + 10 + 1 + 608 + 1 = 666.

803531016081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 66027927681 + 737503088400 = 256959^2 + 858780^2 .

It is not a de Polignac number, because 803531016081 - 2⁷ = 803531015953 is a prime.

It is a super-2 number, since 2×803531016081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (803531016091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18417126 + ... + 18460703.

It is an arithmetic number, because the mean of its divisors is an integer number (60239935305).

Almost surely, 2^803531016081 is an apocalyptic number.

803531016081 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

803531016081 is a deficient number, since it is larger than the sum of its proper divisors (401267690019).

803531016081 is a wasteful number, since it uses less digits than its factorization.

803531016081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36878110 (or 36878101 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 803531016081 in words is "eight hundred three billion, five hundred thirty-one million, sixteen thousand, eighty-one".